Abstract
We investigate the evolution of the H$\beta$+OIII and OII luminosity
functions from $z$ ~ 0.8 to ~ 5 in multiple redshift slices using data from the
High-$z$ Emission Line Survey (HiZELS). This is the first time that the
H$\beta$+OIII and OII luminosity functions have been studied at these
redshifts in a self-consistent analysis. This is also the largest sample of
OII and H$\beta$+OIII emitters (3484 and 3301 emitters, respectively) in
this redshift range, with large co-moving volumes ~ $1 10^6$ Mpc$^3$
in two independent volumes (COSMOS and UDS), greatly reducing the effects of
cosmic variance. The emitters were selected by a combination of photometric
redshift and color-color selections, as well as spectroscopic follow-up,
including recent spectroscopic observations using DEIMOS and MOSFIRE on the
Keck Telescopes and FMOS on Subaru. We find a strong increase in $L_\star$ and
a decrease in $\phi_\star$ with increasing redshift up to $z 2$ and $z
5$ for H$\beta$+OIII and OII emitters, respectively. For
H$\beta$+OIII, this evolution then flattens by $z$ ~ 3. We derive the OII
star-formation history of the Universe since $z$ ~ 5 and find that the cosmic
SFRD rises from $z$ ~ 5 to ~ 3 and then drops towards $z$ ~ 0. We also find
that our star-formation history is able to reproduce the evolution of the
stellar mass density up to $z$ ~ 5. When comparing the H$\beta$+OIII SFRDs to
the OII and H$\alpha$ SFRD measurements in the literature, we find that there
is a remarkable agreement, suggesting that the H$\beta$+OIII sample is
dominated by star-forming galaxies at high-$z$ rather than AGNs.
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